MA320-7-SP-CO:
Financial Derivatives
2020/21
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Spring
Postgraduate: Level 7
Current
Sunday 17 January 2021
Friday 26 March 2021
15
16 July 2020
Requisites for this module
(none)
(none)
(none)
(none)
(none)
DIP GN1309 Mathematics and Finance,
MSC GN1312 Mathematics and Finance,
MSC GN1324 Mathematics and Finance,
DIP N32309 Actuarial Science,
MSC N32312 Actuarial Science,
MPHDN32348 Actuarial Science,
PHD N32348 Actuarial Science
This module introduces the basic mathematical techniques underlying the modelling of derivative pricing. Students will acquire skills on the development and application of pricing and risk management.
An introduction to stochastic methods is presented. Emphasis is placed risk-neutral valuation, the Black-Scholes-Merton model and interest rate models. The module also includes a brief introduction to credit risk.
This module covers part of the Institute and Faculty of Actuaries CM2 syllabus.
The aim of the module is to gain insight into the methods used for pricing various financial derivatives and risk management. The module aims to use finance theories, discrete-time and continuous-time models to price and hedge the most important options, futures and other derivatives.
By the end of this module a student should:
1. Understand and applying the properties of Brownian motion, Ito's integral and the role of stochastic differential equations in finance.
2. Apply arbitrage arguments in modern finance.
3. Use discrete methods to evaluate derivatives, and illustrate the EMM method.
4. An appreciation of the limitations of the Black-Scholes-Merton model and how these deficiencies can be mitigated. This includes the construction and application of the Greeks in hedging.
5. Understand and apply the stochastic models for interest rates.
6. Demonstrate knowledge of simple credit rate models.
7. Implement financial derivatives models in Microsoft Excel spreadsheet, using some of Excel's built-in financial and statistical functions and other useful tools.
Syllabus
Brownian motion: properties and applications. Ito's integral, Ito's lemma, stochastic differential equation.
Pricing derivatives: arbitrage arguments, complete market, forward contracts, binomial methods, risk-neutral pricing, state-price deflator, Black-Scholes-Merton model, martingales, Garman-Kohlhagen, hedging. Applications.
Interest rate derivatives: term structure, one-factor diffusion models, Vasicek and other common models. Yield curve.
Credit risk: credit event, modelling credit risk, Merton model, two state model.
Teaching will be delivered in a way that blends face-to-face classes, for those students that can be present on campus, with a range of online lectures, teaching, learning and collaborative support.
This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Coursework |
Test |
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| Exam |
Main exam: 180 minutes during Summer (Main Period)
|
Exam format definitions
- Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
- In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
- In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
- In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary,
for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.
Your department will provide further guidance before your exams.
Overall assessment
Reassessment
Module supervisor and teaching staff
Dr John O'Hara, email: johara@essex.ac.uk.
Dr John O'Hara & Dr Tolulope Fadina
Dr John O'Hara (johara@essex.ac.uk), Dr Tolulope Fadina (t.fadina@essex.ac.uk)
No
No
No
Dr Dimitrina Dimitrova
Cass Business School, City, University of London
Senior Lecturer
Available via Moodle
Of 2667 hours, 0 (0%) hours available to students:
2667 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
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